| 基于四边形面积坐标的广义协调轴对称单元 | |
| 管楠祥 ; 岑松 ; 陈晓明 ; GUAN Nan-xiang ; CEN Song ; CHEN Xiao-ming | |
| 2010-06-07 ; 2010-06-07 | |
| 关键词 | 有限元 广义协调 四边形面积坐标 轴对称 网格畸变 几乎不可压缩 finite element generalized conforming quadrilateral area coordinate (QAC) method axisymmetric mesh distortion almost incompressible O242.21 O302 |
| 其他题名 | NEW GENERALIZED CONFORMING AXISYMMETRIC ELEMENTS BASED ON THE QUADRILATERAL AREA COORDINATE METHOD |
| 中文摘要 | 利用了点组合广义协调和周广义协调条件,基于四边形面积坐标方法构造了含内参的4结点四边形空间轴对称单元AQACQ6。通过进一步对内参应变矩阵进行合理修正,从而形成新单元AQACQ6M,该单元能够通过强式分片检验。两种单元的位移场都达到对整体坐标的二次完备。数值算例表明:上述轴对称单元不仅精度高,而且抗网格畸变和几乎不可压缩问题能力优于等参单元,显示了面积坐标和广义协调理论的优越性。; By using nodal and perimeter version generalized conforming conditions, a 4-node quadrilateral axisymmetric element AQACQ6 containing internal parameters is formulated by the Quadrilateral Area Coordinate (QAC) method. Then, by modifying its nonconforming strain matrix, another new element AQACA6M being of ability to pass the strict form constant stress/strain patch test is thusly constructed. It is shown that the displacement fields of the two new elements both possess second-order completeness in global coordinate system. Numerical results indicate that the new QAC axisymmetric elements exhibit better performance than other conventional isoparametric models in mesh distortion and almost incompressible problems. The efficiency of the QAC method and the generalized conforming theory for developing simple, effective and reliable finite elements are again demonstrated.; 国家自然科学基金资助项目(10502028); 高等学校全国优秀博士论文作者专项基金资助项目(200242); 教育部新世纪优秀人才支持计划资助项目(NCET-07-0477) |
| 语种 | 中文 ; 中文 |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/37687]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | 管楠祥,岑松,陈晓明,等. 基于四边形面积坐标的广义协调轴对称单元[J],2010, 2010. |
| APA | 管楠祥,岑松,陈晓明,GUAN Nan-xiang,CEN Song,&CHEN Xiao-ming.(2010).基于四边形面积坐标的广义协调轴对称单元.. |
| MLA | 管楠祥,et al."基于四边形面积坐标的广义协调轴对称单元".(2010). |
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